SOLUTION: If been trying to find an equation for a vertex of (1,5) with x-intercepts of -5 and 7

Question 812727: If been trying to find an equation for a vertex of (1,5) with x-intercepts of -5 and 7
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Parabola for simplicity, standard form.

Vertex means,
If you make no assumptions about "a", try the given two intercepts in the equation:

0=a(-5-1)^2+5
-6a+5=0
-6a=-5
a=5/6

---------we will want THIS, because:

....Thinking carefully about how the graph should appear, vertex (1,5) must be a maximum because it is above the two x-intercepts, so and we must choose

Our equation, parabola in standard form be
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